213071040
213,071,040 is an even composite number composed of six prime numbers multiplied together.
213071040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 213071040:
26 × 33 × 5 × 7 × 13 × 271
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 271)See below for interesting mathematical facts about the number 213071040 from the Numbermatics database.
Names of 213071040
- Cardinal: 213071040 can be written as Two hundred thirteen million, seventy-one thousand and forty.
Scientific notation
- Scientific notation: 2.1307104 × 108
Factors of 213071040
Divisors of 213071040
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 108 112 117 120 126 130 135 140 144 156 160 168 180 182 189 192 195 208 210 216 224 234 240 252 260 270 271 273 280 288 312 315 320 336 351 360 364 378 390 416 420 432 448 455 468 480 504 520 540 542 546 560 576 585 624 630 672 702 720 728 756 780 813 819 832 840 864 910 936 945 960 1008 1040 1080 1084 1092 1120 1170 1248 1260 1344 1355 1365 1404 1440 1456 1512 1560 1626 1638 1680 1728 1755 1820 1872 1890 1897 2016 2080 2160 2168 2184 2240 2340 2439 2457 2496 2520 2710 2730 2808 2880 2912 3024 3120 3252 3276 3360 3510 3523 3640 3744 3780 3794 4032 4065 4095 4160 4320 4336 4368 4680 4878 4914 5040 5420 5460 5616 5691 5824 6048 6240 6504 6552 6720 7020 7046 7280 7317 7488 7560 7588 8130 8190 8640 8672 8736 9360 9485 9756 9828 10080 10569 10840 10920 11232 11382 12096 12195 12285 12480 13008 13104 14040 14092 14560 14634 15120 15176 16260 16380 17073 17344 17472 17615 18720 18970 19512 19656 20160 21138 21680 21840 22464 22764 24390 24570 24661 26016 26208 28080 28184 28455 29120 29268 30240 30352 31707 32520 32760 34146 35230 36585 37440 37940 39024 39312 42276 43360 43680 45528 48780 49140 49322 51219 52032 52416 52845 56160 56368 56910 58536 60480 60704 63414 65040 65520 68292 70460 73170 73983 75880 78048 78624 84552 85365 86720 87360 91056 95121 97560 98280 98644 102438 105690 112320 112736 113820 117072 121408 123305 126828 130080 131040 136584 140920 146340 147966 151760 156096 157248 158535 169104 170730 182112 190242 195120 196560 197288 204876 211380 221949 225472 227640 234144 246610 253656 256095 260160 262080 273168 281840 292680 295932 303520 317070 338208 341460 364224 369915 380484 390240 393120 394576 409752 422760 443898 455280 468288 475605 493220 507312 512190 546336 563680 585360 591864 607040 634140 665847 676416 682920 739830 760968 780480 786240 789152 819504 845520 887796 910560 951210 986440 1014624 1024380 1092672 1109745 1127360 1170720 1183728 1268280 1331694 1365840 1479660 1521936 1578304 1639008 1691040 1775592 1821120 1902420 1972880 2029248 2048760 2219490 2341440 2367456 2536560 2663388 2731680 2959320 3043872 3278016 3329235 3382080 3551184 3804840 3945760 4097520 4438980 4734912 5073120 5326776 5463360 5918640 6087744 6658470 7102368 7609680 7891520 8195040 8877960 10146240 10653552 11837280 13316940 14204736 15219360 16390080 17755920 21307104 23674560 26633880 30438720 35511840 42614208 53267760 71023680 106535520 213071040
- Sum of all divisors σ(n): 928542720
- Sum of proper divisors (its aliquot sum) s(n): 715471680
- 213071040 is an abundant number, because the sum of its proper divisors (715471680) is greater than itself. Its abundance is 502400640
Bases of 213071040
- Binary: 11001011001100110100110000002
- Hexadecimal: 0xCB334C0
- Base-36: 3IUUO0
Squares and roots of 213071040
- 213071040 squared (2130710402) is 45399268086681600
- 213071040 cubed (2130710403) is 9673269266468058660864000
-
The
square root of 213071040 is 14596.9531067275 -
The
cube root of 213071040 is 597.2756485713
Scales and comparisons
How big is 213071040?- 213,071,040 seconds is equal to 6 years, 40 weeks, 2 days, 2 hours, 24 minutes.
-
To count from 1 to 213,071,040 would take you about ten years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 213071040 cubic inches would be around 49.8 feet tall.
Recreational maths with 213071040
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